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Decoding of Space-Symmetric Rank Errors

Jerkovits, Thomas and Sidorenko, Vladimir and Wacher-Zeh, Antonia (2021) Decoding of Space-Symmetric Rank Errors. In: 2021 IEEE International Symposium on Information Theory, ISIT 2021. 2021 IEEE International Symposium on Information Theory (ISIT), 12-20 July 2021, Web conference. doi: 10.1109/ISIT45174.2021.9518115. ISBN 978-153868209-8. ISSN 21578095.

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Official URL: https://ieeexplore.ieee.org/abstract/document/9518115

Abstract

This paper investigates the decoding of certain Gabidulin codes over a channel with space-symmetric errors. Space-symmetric errors are additive error matrices that have the property that their column and row spaces are equal. We show that for channels restricted to space-symmetric errors, with high probability errors of rank up to 2(n−k)/3 can be decoded with a Gabidulin code of length n and dimension k , using a weak-self orthogonal basis as code locators.

Item URL in elib:https://elib.dlr.de/144033/
Document Type:Conference or Workshop Item (Lecture)
Title:Decoding of Space-Symmetric Rank Errors
Authors:
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Jerkovits, ThomasThomas.Jerkovits (at) dlr.dehttps://orcid.org/0000-0002-7538-7639
Sidorenko, Vladimirvladimir.sidorenko (at) tum.deUNSPECIFIED
Wacher-Zeh, Antoniaantonia.wachter-zeh (at) tum.deUNSPECIFIED
Date:July 2021
Journal or Publication Title:2021 IEEE International Symposium on Information Theory, ISIT 2021
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:No
DOI :10.1109/ISIT45174.2021.9518115
ISSN:21578095
ISBN:978-153868209-8
Status:Published
Keywords:rank metric, gabidulin codes, space-symmetric rank
Event Title:2021 IEEE International Symposium on Information Theory (ISIT)
Event Location:Web conference
Event Type:international Conference
Event Dates:12-20 July 2021
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Communication, Navigation, Quantum Technology
DLR - Research area:Raumfahrt
DLR - Program:R KNQ - Communication, Navigation, Quantum Technology
DLR - Research theme (Project):R - Quantum cryptography with satellites
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Communication and Navigation > Satellite Networks
Deposited By: Jerkovits, Thomas
Deposited On:01 Oct 2021 15:10
Last Modified:04 Oct 2021 08:23

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